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Finding the Fourth Proportional to 415.83, 573.85 and 229.33

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Solution

The fourth proportional to 415.83, 573.85 and 229.33 is: 316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.83 : 573.85 = 229.33 : x
  2. Step 2: Convert to fraction form
    415.83/573.85 = 229.33/x
  3. Step 3: Cross multiply
    415.83x = 573.85 × 229.33
  4. Step 4: Simplify right side
    415.83x = 131,602.02
  5. Step 5: Solve for x
    x = 131,602.02/415.83
  6. Step 6: Final answer
    x = 316.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.